Least Common Multiple (LCM) of 167 and 179
The least common multiple (LCM) of 167 and 179 is 29893.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 167 and 179?
First, calculate the GCD of 167 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 179 = 0 remainder 167 |
| 2 | 179 ÷ 167 = 1 remainder 12 |
| 3 | 167 ÷ 12 = 13 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 34 | 3366 |
| 172 and 178 | 15308 |
| 135 and 156 | 7020 |
| 22 and 62 | 682 |
| 33 and 185 | 6105 |